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LCM of 752, 979, 616, 175

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 752, 979, 616, 175 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 752, 979, 616, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 752,979,616,175

Given numbers are 752,979,616,175

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 752,979,616,175 is 128836400.

Find LCM of 752,979,616,175 with Prime Factorization


2 752, 979, 616, 175
2 376, 979, 308, 175
2 188, 979, 154, 175
7 94, 979, 77, 175
11 94, 979, 11, 25
94, 89, 1, 25

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 7 x 11 x 94 x 89 x 1 x 25 = 128836400

Therefore, the lowest common multiple of 752,979,616,175 is 128836400.

LCM Formula to Find Lowest Common Multiple of 752,979,616,175

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

752 x 979 x 616 x 175 = 79363222400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

979 : 1, 11, 89, 979

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,979,616,175, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

979:11x 89

616:2x 2x 2x 7x 11

175:5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 7x 11 = 616

Therefore, the value for common factors is 616.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 79363222400/(1x616)

LCM = 79363222400/616

LCM = 128836400

Thus, we can understand that the LCM of 752,979,616,175 is 128836400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 752, 979, 616, 175

1. What is the LCM of 752, 979, 616, 175?

Answer: LCM of 752, 979, 616, 175 is 128836400.

2. How to calculate the LCM of 752, 979, 616, 175?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 752, 979, 616, 175.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.